Abstract
The aim of this study is to formulate a suitable Item Response Theory (IRT) based model to measure HRQoL (as latent variable) using a mixed responses questionnaire and relaxing the hypothesis of normal distributed latent variable. The new model is a combination of two models, that is a latent trait model for mixed responses and an IRT model for Skew Normal latent variable. It is developed in a Bayesian framework. The proposed model was tested on a questionnaire composed by 5 discrete items and one continuous to measure HRQoL in children. The new model has better performances, in term of Deviance Information Criterion, Monte Carlo Markov chain convergence times and precision of the estimates.
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References
BAKER, F. (1992): Item response theory: parameter estimation techniques. New York: Dekker.
BAZAN, J., BOLFARINE and H., BRANCO, D. M. (2004): A new family of asymmetric models for item response theory: A skew normal IRT family. Technical report (RT-MAE-2004-17). Department of Statistics. University of Sao Paulo.
DOLAN, P. (1997): Modelling valuations for EuroQol health states. Med. Care, 35:1095-1108.
KIND, P., DOLAN, P., GUDEX, C. and WILLIAMS, A. (1998): Variations in population health status: results from United Kingdom national questionnaire survey. BMJ, 316:736-741.
LORD, F., NOVICK, M. (1968): Statistical theories of mental test scores. MA: Adisson-Wesley.
MOUSTAKI, I., KNOTT, M. (2000): Generalized latent trait model. Psychometrika, 65(3), 391-411.
RASCH, G. (1960): Probabilistic models for some intelligence and attainment tests. Copenhagen: Denmarks Paedagogiske Institut (Reprinted by University of Chicago Press, 1980).
SPIEGELHALTER, D. J., BEST, N. G., CARLIN, B. P. and VAN DER LINDE, A. (2002): Bayesian measures of model complexity and fit. Journal of the Royal Statistical Society Series B-Statistical Methodology , 64:583-616.
THE EUROQOL GROUP (1990): EuroQol- a new facility for the measurement of health-related quality of life. Health Policy, 16:199-208.
WHOQOL (1995): The world health organization quality of life assessment (WHOQOL): position paper from the World Health Organization. Social Science and Medicine , 41:1403-1409.
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Broccoli, S., Cavrini, G. (2010). A Flexible IRT Model for Health Questionnaire: an Application to HRQoL. In: Lechevallier, Y., Saporta, G. (eds) Proceedings of COMPSTAT'2010. Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-2604-3_37
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DOI: https://doi.org/10.1007/978-3-7908-2604-3_37
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